How to Find GCF of 396/59, 770/847?

GCF of 396/59, 770/847

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 396/59, 770/847 i.e 22/49973 easily. The following is the detailed procedure to determine the greatest common factor of fractions 396/59, 770/847.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 396/59,770/847?

Given fractions are 396/59,770/847

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 396/59,770/847, numerators are 396,770

Denominators are 59,847

The GCF of 396,770 is 22 .

LCM of 59,847 is 49973.

The greatest common factor of 396/59,770/847 = [GCF of 396,770]/[LCM of 59,847]= 22/49973

Therefore, the GCF of 396/59,770/847 is 22/49973.

Greatest Common Factor of 396,770

To find the highest common factor of 396,770, we have to find the factors of both numbers and list the highest common factor.

The factors of 396 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

The factors of 770 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

The HCF of 396,770 is 22.

Lets's calculate GCF of 396,770

Greatest Common Factor (GCF) of 396,770 By Common Division

2	396, 770
11	198, 385
	18, 35

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 396,770 By Matching Biggest Common Factor Method

Now, list down the factors of 396

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Now, list down the factors of 770

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Greatest Common Factor

We found the factors 396,770 . The biggest common factor number is the GCF number.
So the greatest common factor 396,770 is 22.

Lets's calculate LCM of 59,847

Lowest Common Multiple of 59,847 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 49973

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/49973

Therefore, the GCF of Fractions 396/59,770/847 is 22/49973

Least Common Multiple of 59,847 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 59,847 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,847) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(59,847) x common factors =1 x 1 = 1

LCM(59,847) = ( 59 × 847 ) / 1

LCM(59,847) = 49973 / 1

LCM(59,847) = 49973

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FAQs on GCF of Fractions of 396/59, 770/847

1. What is the HCF of 396,770?

The HCF of 396,770 is 22

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 396/59, 770/847?

Answer: GCF of Numerators as per given numbers 396/59, 770/847 is

GCF of Numerators i.e. for 396,770 is 22

LCM of denominators i.e. for 59,847 is 49973.

Thus, GCF of Fractions is 22/49973.Finally, GCF of Fractions for 396/59, 770/847 is 22/49973.